While that would likely help, I don't think it will really solve the problem.

I saw a documentary a few years ago about radical Islam. They traced the modern version (that includes anti-American/anti-freedom elements) to a book written by a guy in the 50s. He traveled to the US and was so horrified at what he saw ("lack of spirituality", women as something other than slaves, etc) that he was moved to write that book. Basically, we're immoral, unspiritual, just this side of being satanic, etc. It's the bible for the modern extremist.

So even if we did what you say, we're still an affront to Allah, evil and need to be destroyed. Unless you're willing to throw sheets over all the women, and censor everything (both your speech, and that of society including advertising), it won't be enough.